Semigroup Theory and Evolution Equations

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Release : 1991-06-24
Genre : Mathematics
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Book Rating : 451/5 ( reviews)

Semigroup Theory and Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Semigroup Theory and Evolution Equations write by Philippe Clement. This book was released on 1991-06-24. Semigroup Theory and Evolution Equations available in PDF, EPUB and Kindle. Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e

Semigroup Methods for Evolution Equations on Networks

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Release : 2014-05-21
Genre : Science
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Book Rating : 217/5 ( reviews)

Semigroup Methods for Evolution Equations on Networks - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Semigroup Methods for Evolution Equations on Networks write by Delio Mugnolo. This book was released on 2014-05-21. Semigroup Methods for Evolution Equations on Networks available in PDF, EPUB and Kindle. This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations. This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research.

One-Parameter Semigroups for Linear Evolution Equations

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Release : 2006-04-06
Genre : Mathematics
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Book Rating : 427/5 ( reviews)

One-Parameter Semigroups for Linear Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-Parameter Semigroups for Linear Evolution Equations write by Klaus-Jochen Engel. This book was released on 2006-04-06. One-Parameter Semigroups for Linear Evolution Equations available in PDF, EPUB and Kindle. This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.

Semigroups of Linear Operators and Applications to Partial Differential Equations

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 619/5 ( reviews)

Semigroups of Linear Operators and Applications to Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Semigroups of Linear Operators and Applications to Partial Differential Equations write by Amnon Pazy. This book was released on 2012-12-06. Semigroups of Linear Operators and Applications to Partial Differential Equations available in PDF, EPUB and Kindle. Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.

A Concise Guide To Semigroups And Evolution Equations

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Release : 1994-05-18
Genre : Mathematics
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Book Rating : 570/5 ( reviews)

A Concise Guide To Semigroups And Evolution Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Concise Guide To Semigroups And Evolution Equations write by Aldo Belleni-morante. This book was released on 1994-05-18. A Concise Guide To Semigroups And Evolution Equations available in PDF, EPUB and Kindle. This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory), and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces.Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).